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1061313440 = 255115231153
BaseRepresentation
bin111111010000100…
…101101110100000
32201222001022100012
4333100211232200
54133144012230
6253151344052
735205005165
oct7720455640
92658038305
101061313440
114a50a1550
12257522028
1313bb56c25
14a0d4c06c
1563293395
hex3f425ba0

1061313440 has 96 divisors (see below), whose sum is σ = 2742901056. Its totient is φ = 384860160.

The previous prime is 1061313397. The next prime is 1061313443. The reversal of 1061313440 is 443131601.

1061313440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10613134402 = 2252772435849267200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061313443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 919904 + ... + 921056.

It is an arithmetic number, because the mean of its divisors is an integer number (28571886).

Almost surely, 21061313440 is an apocalyptic number.

1061313440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1061313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371450528).

1061313440 is an abundant number, since it is smaller than the sum of its proper divisors (1681587616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1061313440 is a wasteful number, since it uses less digits than its factorization.

1061313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1061313440 is about 32577.8059420827. The cubic root of 1061313440 is about 1020.0337807600.

The spelling of 1061313440 in words is "one billion, sixty-one million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 523 880 1046 1153 1760 2092 2306 2615 4184 4612 5230 5753 5765 8368 9224 10460 11506 11530 12683 16736 18448 20920 23012 23060 25366 28765 36896 41840 46024 46120 50732 57530 63415 83680 92048 92240 101464 115060 126830 184096 184480 202928 230120 253660 405856 460240 507320 603019 920480 1014640 1206038 2029280 2412076 3015095 4824152 6030190 6633209 9648304 12060380 13266418 19296608 24120760 26532836 33166045 48241520 53065672 66332090 96483040 106131344 132664180 212262688 265328360 530656720 1061313440